Simplify.
(2^-1∙7^-4)^-2
You can rewrite that as
2^2 x 7^8 = 4 x (5,764,801)
The do the final multiplication.
Do i need to put a 1 over the
2^2 x 7^8 like this? Or is it just
2^2 x 7^8 ?
1
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2^2 x 7^8
So how do we arrive @ this answer?
i already told you
I do not need to mutiply anything. I just need to simplify this.
(2^-1∙7^-4)^-2
So the final answer is 2^2 x 7^8 ? but how did we get this?
To simplify the expression (2^-1∙7^-4)^-2, we need to apply the rules of exponents.
Step 1: Distribute the exponent -2 to the bases inside the parentheses.
For each base, we multiply the exponents.
(2^-1∙7^-4)^-2 = 2^(-1 * -2) * 7^(-4 * -2)
Step 2: Simplify the exponents.
(-1 * -2) = 2
(-4 * -2) = 8
Therefore, (2^-1∙7^-4)^-2 = 2^2 * 7^8.
Step 3: Evaluate the expression.
2^2 = 2 * 2 = 4
7^8 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 = 5,764,801
Therefore, the simplified form of (2^-1∙7^-4)^-2 is 4 * 5,764,801, which is equal to 23,059,204.